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x + 21 - 1/3x = 9
please show step by step!!​

Sagot :

38571218

Answer:

x = -18

Step-by-step explanation:

[tex]x + 21 - \frac{1}{3}x = 9[/tex]

Combine x and [tex]\frac{1}{3}[/tex] to get [tex]\frac{2}{3} x[/tex].

[tex]\frac{2}{3}x + 21 = 9[/tex]

Subtract 21 from both sides.

[tex]\frac{2}{3} x = 9 - 21[/tex]

Subtract 21 from 9 to get −12.

[tex]\frac{2}{3}x = -12[/tex]

Multiply both sides by [tex]\frac{3}{2}[/tex], the reciprocal of  [tex]\frac{2}{3}[/tex].

[tex]x = 12[/tex] × [tex](\frac{3}{2} )[/tex]

Express −12 × [tex](\frac{3}{2})[/tex] as a single fraction.

[tex]x = \frac{-12 x 3}{2}[/tex]

Multiply −12 and 3 to get −36.

[tex]x = \frac{-36}{2}[/tex]

Divide −36 by 2 to get −18.

x = -18

hope it helps and have a great day! =D

~sunshine~

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